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Math Help - similar matrices

  1. #1
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    similar matrices

    Prove that if a square matrix A is similar to a scalar matrix (lambda)I, then A=(lambda)I.
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  2. #2
    Super Member Random Variable's Avatar
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     A = P^{-1} (\lambda I) P = P^{-1}\lambda (IP)= P^{-1}\lambda P = \lambda (P^{-1}P)=\lambda I
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